785456676 has 81 divisors (see below), whose sum is σ = 2073705361. Its totient is φ = 260305488.

The previous prime is 785456663. The next prime is 785456687. The reversal of 785456676 is 676654587.

The square root of 785456676 is 28026.

It is a perfect power (a square), and thus also a powerful number.

785456676 is a `hidden beast` number, since 7 + 8 + 5 + 4 + 566 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 714492900 + 70963776 = 26730^2 + 8424^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4540126 + ... + 4540298.

Almost surely, 2^785456676 is an apocalyptic number.

785456676 is the 28026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785456676

785456676 is an abundant number, since it is smaller than the sum of its proper divisors (1288248685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

785456676 is an frugal number, since it uses more digits than its factorization.

785456676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 178 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The cubic root of 785456676 is about 922.6579860294.

The spelling of 785456676 in words is "seven hundred eighty-five million, four hundred fifty-six thousand, six hundred seventy-six".